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Suppose the population defective rate of one product is 2%. Given the product is defective, the quality testing department will have probability 0.98 to label

Suppose the population defective rate of one product is 2%. Given the product is defective, the quality testing department will have probability 0.98 to label it as defective; for non-defective product, the quality testing department will have probability 0.05 to label it as defective. 

1. For a randomly selected product, what is the probability of receiving a defective label after the test? 

2. Given that the product received a defective label, what is the probability that the product is indeed defective? 

3. Suppose two products are randomly sampled, what is the probability that only one of them receives defective label?

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